Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 803, 879, 31, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 879, 31, 757 is 1
GCD(803, 879, 31, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 879, 31, 757 is 1
GCD(803, 879, 31, 757) = 1
Given Input numbers are 803, 879, 31, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 803, 879, 31, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 879, 31, 757 is 1.
Therefore, GCD of numbers 803, 879, 31, 757 is 1
Given Input Data is 803, 879, 31, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 879 is 3 x 293
Prime Factorization of 31 is 31
Prime Factorization of 757 is 757
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(803, 879) = 705837
GCD(803, 879) = ( 803 x 879 ) / 705837
GCD(803, 879) = 705837 / 705837
GCD(803, 879) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 803, 879, 31, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 879, 31, 757?
GCD of 803, 879, 31, 757 is 1
2. Where do I get the detailed procedure to find GCD of 803, 879, 31, 757?
You can find a detailed procedure to find GCD of 803, 879, 31, 757 on our page.
3. How to find GCD of 803, 879, 31, 757 on a calculator?
You can find the GCD of 803, 879, 31, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.